In short nope. Two main reasons: not that much fall out from a "dirty device" and also that is not the correct direction of weather system patterns in the region. The airstream would carry it mostly East and South. However, that wouldn't be an issue again, as a dirty device is no where near comparable in fallout to say a tactical nuke which has relatively minimal fallout in the scale of ordinance applicable.
In short nope. Two main reasons: not that much fall out from a "dirty device" and also that is not the correct direction of weather system patterns in the region. The airstream would carry it mostly East and South. However, that wouldn't be an issue again, as a dirty device is no where near comparable in fallout to say a tactical nuke which has relatively minimal fallout in the scale of ordinance applicable.